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Friday, 9 October

JEE Main Maths · Conic Sections

Common Tangent of Touching Circles

Common Tangent of Touching Circles (Conic Sections) was asked 3 times in 3 JEE Main shifts, 2024–2025, out of the 42 shifts Lumi analysed. 1 of the 3 had a numerical answer.

Times asked
3
in 3 shifts
Years
2024–2025
Usual format
Single correct
Multi-step
Pattern
New since 2024
repeats across shifts

How it is asked

  • Contact point of externally touching circles
  • Circle parameters from touching condition

Difficulty

Easy 0Medium 2Hard 1

Where it sits

Chapter: Conic Sections. Topic: Circle Tangents, 17 questions over 10 ideas.

Other repeat ideas in this topic

Every time it came

All 3 questions

Newest first, each with its options and official answer.

  1. 7 Apr 2025, Shift 1 · Q12Let C1C_1 be the circle in the third quadrant of radius 3, that touches both coordinate axes. Let C2C_2 be the circle with centre (1,3)(1, 3)…MediumSingle correct
  2. 8 Apr 2024, Shift 1 · Q15Let the circles C1:(x−α)2+(y−β)2=r12C_1:(x-\alpha)^2+(y-\beta)^2=r_1^2 and C2:(x−8)2+(y−152)2=r22C_2:(x-8)^2+\left(y-\frac{15}{2}\right)^2=r_2^2 touch each other externally at…MediumSingle correct
  3. 9 Apr 2024, Shift 1 · Q29Let the centre of a circle, passing through the points (0,0)(0,0), (1,0)(1,0) and touching the circle x2+y2=9x^2+y^2=9, be (h,k)(h,k). Then for all…HardNumerical value